Determine if the ordered pair is a solution to the given inequality.
-$$3 x ^ { 2 } - y \leq 9 ; ( - 0.5,5.5 )$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

To determine if the ordered pair $(-0.5, 5.5)$ is a solution to the inequality $3x^2 - y \leq 9$, substitute $x = -0.5$ and $y = 5.5$ into the inequality: $3(-0.5)^2 - 5.5 \leq 9$. This simplifies to $3(0.25) - 5.5 \leq 9$, which further simplifies to $0.75 - 5.5 \leq 9$. Finally, $-4.75 \leq 9$, which is true. Therefore, the ordered pair is a solution to the given inequality.

Determine If the Ordered Pair Is a Solution to the Given